Is the advent of a technological singularity a solution to the Fermi Paradox?
If the technological singularity always leads to the extinction of all intelligent life, then yes.

If the technological singularity always leads to intelligent life migrating into higher planes of existence that aren't accessible to us right now, then also yes. 

Otherwise it is exactly the assumption of unbridled technological progress that makes the Fermi paradox perplexing. A post-singularity culture should have the ability to spread through the galaxy. If there are a lot of post-singularity cultures some of them should have spread through the galaxy. And if there are enough cultures that are spreading through the galaxy, we should notice them.